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MMLU-Pro / 8516 / Let N be a spatial Poisson process with constant intensity 11 in R^d, where…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let N be a spatial Poisson process with constant intensity 1111 in R^d, where d\geq2. Let S be the ball of radius rr centered at zero. Denote |S| to be the volume of the ball. What is N(S)/|S| as r→∞r\rightarrow\infty?
Plain-text mathematical notation (without MathML)
Let N be a spatial Poisson process with constant intensity 11 in R^d, where d\geq2. Let S be the ball of radius r centered at zero.  Denote |S| to be the volume of the ball. What is N(S)/|S| as r→∞?
Original LaTeX notation
Let N be a spatial Poisson process with constant intensity $11$ in R^d, where d\geq2. Let S be the ball of radius $r$ centered at zero.  Denote |S| to be the volume of the ball. What is N(S)/|S| as $r\rightarrow\infty$?

category

math

options

  1. 22.0
  2. 0.0
  3. 110.0
  4. 1.0
  5. 2.0
  6. 11.0
  7. 5.5
  8. Infinity
  9. 1/11
  10. The limit does not exist

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8516
task_id
45e7d991-ed0f-5070-91b1-6600f9c927b6
task_key
default--test--8516
task_revision_id
1
config / split
default / test

Official source

initial import